Singularities of Affine Schubert Varieties

Autor: Kuttler, J., Lakshmibai, V.
Rok vydání: 2008
Předmět:
Zdroj: SIGMA 5 (2009), 048, 31 pages
Druh dokumentu: Working Paper
DOI: 10.3842/SIGMA.2009.048
Popis: This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type $\mathrm{A}^{(1)}_\ell$). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine explicitly the tangent spaces at singular points. For a general affine Schubert variety, we give partial results on the singular locus.
Comment: 13 figures
Databáze: arXiv